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Dates:
Lecture:
Tu and We 08:15-09:45, Rm 48-438
Exampleclass:
Fr 13:45-15:15, 48-438 (Henning Meyer)
News:
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I offer examinations at 20th February, 27th March and 3rd April.
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The email address of your tutor is
hmeyer@mathematik.uni-kl.de. When handing in procedures for
correction please always hand in the whole library. You can find a
template for the library under the following URL:
Assingments:
Post Script Dateien:
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PDF Dateien:
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Singular Procedures:
ca.lib
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Algorithms in Chapter 5:
algorithmen.ps
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algorithmen.pdf
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Literature:
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Gert-Martin Greuel, Gerhard Pfister, A Singular Introduction to
Commutative Algebra, Springer.
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David Eisenbud, Commutative Algebra with a View towards Algebraic
Geometry, Springer.
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Cox, Little, O'Shea, Ideals, Varieties and Algorithms., Springer.
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Cox, Little, O'Shea, Using Algebraic Geometry., Springer.
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Content:
Rings and ideals, (graduated) modules, monomial orderings, standard
bases, normal forms, Buchberger algorithm, Mora algorithm, operations
with ideals and modules (intersection, radical, quotient, saturation),
kernal of maps, free resolutions, syzygies, primary decompositon,
Hilbert series, dimension theory, Noether normalisation --
always the algorithmic aspect of computing the objects will be the
dominating question.
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